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Finding the Fourth Proportional to 470.14, 705.35 and 145.53

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Solution

The fourth proportional to 470.14, 705.35 and 145.53 is: 218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 705.35 = 145.53 : x
  2. Step 2: Convert to fraction form
    470.14/705.35 = 145.53/x
  3. Step 3: Cross multiply
    470.14x = 705.35 × 145.53
  4. Step 4: Simplify right side
    470.14x = 102,649.59
  5. Step 5: Solve for x
    x = 102,649.59/470.14
  6. Step 6: Final answer
    x = 218.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.